Algebra 2 Companion Book, Volume 1

1.2.3 Exploring Transformations (continued) Example 2 Translating and Reflecting Functions

A reflection is a transformation that flips a figure across a line called the line of reflection. Each reflected point in the image is the same distance from the line of reflection as its corresponding point in the preimage, but on the opposite side of the line of reflection. For a figure reflected across the y -axis, the x -coordinate of each point in the image is the opposite of each corresponding x -coordinate in the preimage. For a figure reflected across the x -axis, the y -coordinate of each point in the image is the opposite of each corresponding y -coordinate in the preimage.

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